Free Book Online
Book Introduction to Homotopy Theory (Fields Institute Monographs (Z))

Pdf

Introduction to Homotopy Theory (Fields Institute Monographs (Z))

3.5 (3284)

Log in to rate this item

    Available in PDF - DJVU Format | Introduction to Homotopy Theory (Fields Institute Monographs (Z)).pdf | Language: ENGLISH
    Paul Selick(Author)

    Book details


This text is based on a one-semester graduate course taught by the author at The Fields Institute in fall 1995 as part of the homotopy theory program which constituted the Institute's major program that year. The intent of the course was to bring graduate students who had completed a first course in algebraic topology to the point where they could understand research lectures in homotopy theory and to prepare them for the other, more specialized graduate courses being held in conjunction with the program. The notes are divided into two parts: prerequisites and the course proper. Part I, the prerequisites, contains a review of material often taught in a first course in algebraic topology. It should provide a useful summary for students and non-specialists who are interested in learning the basics of algebraic topology. Included are some basic category theory, point set topology, the fundamental group, homological algebra, singular and cellular homology, and Poincare duality. Part II covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in classical homotopy theory, simplicial sets, fiber bundles, Hopf algebras, spectral sequences, localization, generalized homology and cohomology operations. This book collects in one place the material that a researcher in algebraic topology must know. The author has attempted to make this text a self-contained exposition. Precise statements and proofs are given of 'folk' theorems which are difficult to find or do not exist in the literature.
4.3 (4262)
  • Pdf

*An electronic version of a printed book that can be read on a computer or handheld device designed specifically for this purpose.

Formats for this Ebook

PDF
Required Software Any PDF Reader, Apple Preview
Supported Devices Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch.
# of Devices Unlimited
Flowing Text / Pages Pages
Printable? Yes

Book details

  • PDF | 188 pages
  • Paul Selick(Author)
  • American Mathematical Society (30 Sept. 2008)
  • English
  • 3
  • Science & Nature

Read online or download a free book: Introduction to Homotopy Theory (Fields Institute Monographs (Z))

 

Review Text


Name:
Email*:
The message text*: